TY - JOUR
T1 - Normal Form for the 1:1 Resonance Problems for Delayed Reaction-Diffusion Systems
AU - Su , Rina
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 1066
EP - 1083
PY - 2025
DA - 2025/05
SN - 7
DO - http://doi.org/10.12150/jnma.2025.1066
UR - https://global-sci.org/intro/article_detail/jnma/24116.html
KW - Normal form, 1:1 resonance, Hopf bifurcation, delayed reaction-diffusion.
AB - <p style="text-align: justify;">This article presents a direct method for calculating the normal
form coefficients of a 1:1 resonant Hopf bifurcation in reaction-diffusion systems with time delay and Neumann boundary conditions. The formulas obtained in this paper can be easily implemented using a computer algebra system such as Maple or Mathematica.</p>